JMO

For what value of 'n' will the remainder of 351n and 352n be the same when divided by 7?

JMO

Suppose n is an integer such that the sum of digits on n is 2, and 1010<n<1011. The number of different values of n is:

JMO

The least common multiple of two natural numbers a and b, is 399. What is the minimum possible sum of the digits of the number a(given a > b)?

JMO

What is the unit's digit of the number 6256–4256

JMO

What is the remainder when 91+92+93+....+98 is divided by 6?

JMO

Find the remainder when 3164 is divided by 162

JMO

How many natural numbers below 860 are divisible by 5 and 11 but not by 3

logarithm

division

A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?

numbers

show that the product of four consecutive even number is always divisible by 384

geometry

A circle of unit radius, houses a square of maximum size inside it. What is the ratio of area of square to area of circle?

15 questions for MTSE/ MAT/ IPM STD VIII

answers available under respective topics

clock puzzle

At how many minutes past 8 O' clock does the minute arm and the hour arm coincide between 8 O' clock and 9 O' clock?

clock puzzle

In an accident the minute arm and the second arm of the wrist watch is lost. The watch now has only the hour arm in the correct position.
What is the minimum time that can be measured accurately?

number puzzle

Number Puzzle

 

number puzzle

Number Puzzle

 

Puzzle

A, B and D are good in Hockey and Volleyball. C and A are good in Hockey and Baseball. D and B are good at Cricket and Volleyball. C, D and E are good at Football and Baseball.

Find out, who of the following is good in all the games.

Puzzle

Out of 5 friends A is shorter than B but taller than E. C is tallest and D is little shorter than A. Which one is the shortest?

Puzzle

Nanu and Bhanu are charged for overspeeding on the  Express Highway. Nanu was charged with exceeding the speed limit by 10 km/hr, whereas Bhanu was charged with exceeding the same limit by thrice as much. If Bhanu was driving at 100 km/hr, at what speed was Nanu driving her vehicle?

puzzle

if 6 girls A, B, C, D, E and F have 10 marbles each. A and B take 4 marbles each from D and E respectively. C gives 3 marbles to F who in turn gives 2 marbles to D and 4 marbles to E. E takes back the marbles she had given to B and gives these to C.

Who has got 1 more marble than E?
How many marbles has D less than B?